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101233000131 = 34322713212617
BaseRepresentation
bin101111001000111110…
…1001111111011000011
3100200022002202020110020
41132101331033323003
53124311122001011
6114301130304523
710212435206034
oct1362175177303
9320262666406
10101233000131
1139a2943137a
1217752888143
1397140b9613
144c84b00a8b
1529775e3006
hex1791f4fec3

101233000131 has 32 divisors (see below), whose sum is σ = 138882847488. Its totient is φ = 65554030080.

The previous prime is 101233000123. The next prime is 101233000153. The reversal of 101233000131 is 131000332101.

It is not a de Polignac number, because 101233000131 - 23 = 101233000123 is a prime.

It is a super-2 number, since 2×1012330001312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101233000131.

It is not an unprimeable number, because it can be changed into a prime (101233007131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38681535 + ... + 38684151.

It is an arithmetic number, because the mean of its divisors is an integer number (4340088984).

Almost surely, 2101233000131 is an apocalyptic number.

101233000131 is a deficient number, since it is larger than the sum of its proper divisors (37649847357).

101233000131 is a wasteful number, since it uses less digits than its factorization.

101233000131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 101233000131 its reverse (131000332101), we get a palindrome (232233332232).

The spelling of 101233000131 in words is "one hundred one billion, two hundred thirty-three million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 43 129 227 681 1321 2617 3963 7851 9761 29283 56803 112531 170409 299867 337593 594059 899601 1782177 3457057 10371171 12894281 25544537 38682843 76633611 148653451 445960353 784751939 2354255817 33744333377 101233000131